{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "from utils import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Square Duct Flow 3D\n",
    "\n",
    "Example regards of Stokes problem:\n",
    "$$\n",
    "\\nu \\varDelta \\mathbf{u}\\left( x \\right) +\\nabla p=\\mathbf{f}\\left( x \\right) ,   x\\,\\,\\text{in }\\varOmega \\,\\,\n",
    "\\\\\n",
    "\\nabla \\mathbf{u}\\left( x \\right) =\\text{0,   }x\\,\\,\\text{in }\\varOmega \n",
    "$$\n",
    "\n",
    "A exact solution can be specificed as:\n",
    "$$\n",
    "\\mathbf{u}=\\left( u,\\text{0,}0 \\right) \n",
    "\\\\\n",
    "u=-\\frac{\\varDelta p}{\\mu L}\\frac{4h^2}{\\pi ^3}\\sum_{n=\\text{1,3,}5...}^{\\infty}{\\frac{1}{n^3}\\left( 1-\\frac{\\cosh \\left( n\\pi y/h \\right)}{\\cosh \\left( n\\pi /2 \\right)} \\right) \\sin \\left( n\\pi z/h \\right)}\n",
    "$$\n",
    "\n",
    "\n",
    "\n",
    "The soluton domain is on a 3D square duct:\n",
    "$$\n",
    "\\varOmega =\\left[ \\text{0,}L \\right] \\times \\left[ -h/2,h/2 \\right] \\times \\left[ 0,h \\right] \n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "max velocity= 0.7367034917142333\n",
      "mid pressure= 5.0\n"
     ]
    }
   ],
   "source": [
    "dp=-10 #pressure drop\n",
    "L=1\n",
    "h=1 #height of duct\n",
    "mu=1\n",
    "\n",
    "def compute_V(x,y):\n",
    "    V=0.0\n",
    "    for i in range(20):\n",
    "        n=(2*i+1)\n",
    "        V+=1/n**3*(1-np.cosh(n*np.pi*x/h)/np.cosh(n*np.pi/2))*np.sin(n*np.pi*y/h)\n",
    "        \n",
    "    vz=-dp/L/mu*4*h*h/np.pi**3*V\n",
    "    return vz\n",
    "\n",
    "def compute_p(x):\n",
    "    #assume p_out=0\n",
    "    return -(dp-dp/L*x)\n",
    "\n",
    "print(\"max velocity=\",abs(compute_V(0,h/2)))\n",
    "print(\"mid pressure=\",compute_p(L/2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "max= 0.7367034917142333\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "n=21\n",
    "x = np.linspace(-h/2, h/2, n)\n",
    "y = np.linspace(0, h, n)\n",
    "x,y=np.meshgrid(x,y)\n",
    "\n",
    "x=x.flatten()\n",
    "y=y.flatten()\n",
    "\n",
    "z=compute_V(x,y)\n",
    "print(\"max=\",max(abs(z)))\n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.gca(projection='3d')\n",
    "\n",
    "ax.plot_trisurf(x, y, z, cmap=\"jet\", linewidth=0.5,edgecolors='k')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
